How would one accidentally invite someone to a wedding?

So now my plan is to "accidentally purposely" invite her because in this early of a friendship, she might say no. I was thinking of just a friendly chat about how a friend of mine is getting hitched then maybe slowly guide the conversation to an invite. From there, maybe accidentally slipping up or even jokingly ask? I'm a little stumped on ideas here.

That's basically the best way to go about it.

Any suggestions on wording it? A plan is only as good as how it's executed.